2 citations · 3 across the 7 of their papers we have counts for
7 papers
Micro-packets containing generic representations
Nicolas Arancibia Robert
For a real group , it is known from the work of Kostant and Vogan that the L-packet associated with an L-parameter of contains a \emph{generic} representation if and onl…
Micro-packets for real groups of type
Leticia Barchini, Nicolas Arancibia Robert, Paul Mezo
In their study of Arthur's conjectures for real groups, Adams, Barbasch, and Vogan introduced the notion of micro-packets. Micro-packets are finite sets of irreducible representati…
GUE-corners process in two-periodic Aztec diamonds
Nicolas Robert, Philippe Ruelle
Links between uniform Aztec diamonds and random matrices are numerous in the literature. In particular, it has been established that, after appropriate rescaling, the probability d…
On -determinants and tiling problems
Jean-François de Kemmeter, Nicolas Robert, Philippe Ruelle
We review the connections between the octahedral recurrence, -determinants and tiling problems. This provides in particular a direct combinatorial interpretation of the -dete…
L-packets over strong real forms
Nicolas Arancibia Robert, Paul Mezo
Langlands defined L-packets for real reductive groups. In order to refine the local Langlands correspondence, Adams-Barbasch-Vogan combined L-packets over all real forms belonging…
Equivalent definitions of Arthur packets for real unitary groups
Nicolas Arancibia Robert, Paul Mezo
Mok and Moeglin-Renard have defined Arthur packets for unitary groups. Their definitions follow Arthur's work on classical groups and rely on harmonic analysis. For real groups the…
Equivalent definitions of Arthur packets for real classical groups
Jeffrey Adams, Nicolás Arancibia Robert, Paul Mezo
Arthur has conjectured the existence of what are now known as Arthur packets of representations of reductive algebraic groups over local and global fields. In the case of classical…